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Directions: The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.
Q. What is the probability of picking 1 red and 1 white ball from a bag containing balls of three colours without replacement?
I. The bag contains red, white and blue balls in the ratio 3 : 5 : 7.
II. The bag contains 75 balls.
III. The number of red balls in the bag is 40% less than number of white balls.
  • a)
    Only I
  • b)
    Only II and III
  • c)
    Only I and III
  • d)
    Only I and II
  • e)
    Even I, II and III together are not sufficient.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions:The question given below is followed by three statements nu...
Statement I: The bag contains red, white and blue balls in the ratio 3:5:7.

Statement II: The bag contains 75 balls.

Statement III: The number of red balls in the bag is 40% less than the number of white balls.

To find the probability of picking 1 red and 1 white ball from a bag containing balls of three colors without replacement, we need to know the total number of balls of each color in the bag.

Analysis of Statement I:
Statement I tells us the ratio of red, white, and blue balls in the bag, but it does not provide the exact number of balls of each color. Without knowing the total number of balls, we cannot determine the probability of picking 1 red and 1 white ball. Therefore, Statement I alone is not sufficient to answer the question.

Analysis of Statement II:
Statement II tells us that the bag contains 75 balls. However, it does not provide any information about the distribution of colors in the bag. Without knowing the number of red and white balls, we cannot determine the probability of picking 1 red and 1 white ball. Therefore, Statement II alone is not sufficient to answer the question.

Analysis of Statement III:
Statement III tells us that the number of red balls in the bag is 40% less than the number of white balls. Let's assume the number of white balls is x. According to Statement III, the number of red balls would be 0.6x (40% less than x).

To determine the probability of picking 1 red and 1 white ball, we need to know the total number of balls in the bag. However, Statement III does not provide this information. Therefore, Statement III alone is not sufficient to answer the question.

Using Statements I and III together:
From Statement I, we know the ratio of red, white, and blue balls in the bag is 3:5:7. Let's assume the number of red balls is 3k, the number of white balls is 5k, and the number of blue balls is 7k.

From Statement III, we know that the number of red balls is 40% less than the number of white balls. Therefore, 3k = 0.6(5k) = 3k.

By solving these two equations, we can find the value of k and the number of red and white balls in the bag. With this information, we can determine the probability of picking 1 red and 1 white ball. Therefore, Statements I and III together are sufficient to answer the question.

Conclusion:
Only Statements I and III together are sufficient to answer the question. Therefore, the correct answer is option (d) Only I and III.
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Directions:The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.Q. What is the probability of picking 1 red and 1 white ball from a bag containing balls of three colours without replacement?I. The bag contains red, white and blue balls in the ratio 3 : 5 : 7.II. The bag contains 75 balls.III. The number of red balls in the bag is 40% less than number of white balls.a)Only Ib)Only II and IIIc)Only I and IIId)Only I and IIe)Even I, II and III together are not sufficient.Correct answer is option 'D'. Can you explain this answer?
Question Description
Directions:The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.Q. What is the probability of picking 1 red and 1 white ball from a bag containing balls of three colours without replacement?I. The bag contains red, white and blue balls in the ratio 3 : 5 : 7.II. The bag contains 75 balls.III. The number of red balls in the bag is 40% less than number of white balls.a)Only Ib)Only II and IIIc)Only I and IIId)Only I and IIe)Even I, II and III together are not sufficient.Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions:The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.Q. What is the probability of picking 1 red and 1 white ball from a bag containing balls of three colours without replacement?I. The bag contains red, white and blue balls in the ratio 3 : 5 : 7.II. The bag contains 75 balls.III. The number of red balls in the bag is 40% less than number of white balls.a)Only Ib)Only II and IIIc)Only I and IIId)Only I and IIe)Even I, II and III together are not sufficient.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions:The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.Q. What is the probability of picking 1 red and 1 white ball from a bag containing balls of three colours without replacement?I. The bag contains red, white and blue balls in the ratio 3 : 5 : 7.II. The bag contains 75 balls.III. The number of red balls in the bag is 40% less than number of white balls.a)Only Ib)Only II and IIIc)Only I and IIId)Only I and IIe)Even I, II and III together are not sufficient.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions:The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.Q. What is the probability of picking 1 red and 1 white ball from a bag containing balls of three colours without replacement?I. The bag contains red, white and blue balls in the ratio 3 : 5 : 7.II. The bag contains 75 balls.III. The number of red balls in the bag is 40% less than number of white balls.a)Only Ib)Only II and IIIc)Only I and IIId)Only I and IIe)Even I, II and III together are not sufficient.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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